Axial-Current Anomaly in Euler Fluid

Abstract

We argue that a close analog of the axial-current anomaly of quantum field theories with fermions occurs in the classical Euler fluid. The conservation of the axial current (closely related to the helicity of inviscid barotropic flow) is anomalously broken by the external electromagnetic field as ${\partial }_{\mu }{j}_A^{\mu }=2\mathbf{E}\cdot \mathbf{B}$ similar to that of the axial current of a quantum field theory with Dirac fermions such as QED.

6 pages, LaTeX; typos corrected, references added

References in corpus (3)

• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• An introduction to relativistic hydrodynamics
• Analog of gravitational anomaly in topological chiral superconductors

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• Hamilton Principle for Chiral Anomalies in Hydrodynamics
• Helicity conservation in perfect electromagnetic and chiral fluids